Question

Dwayne earned $530 working 2 jobs. One job pays $14 per hour and the other pays $10 per hour. He worked a total of 45 hours how many hours did he work at each job? Set up a system and solve

Answer 1

Answer:

Dwayne worked 20 hours for first job and 25 hours for second job.

Step-by-step explanation:

Let the number of hours worked by Dwayne in first job = x

Let the number of hours worked by Dwayne in second job = y

Then, $\[x + y = 45\]$ ----------------- (1)

First job pays $14 per hour

Second job pays $10 per hour

=> $\[14x + 10y = 530\]$ ------------- (2)

Solving (1) and (2):

$\[y = 45 - x\]$

Substituting in (2):

$\[14x + 10 (45-x) = 530\]$

=> $\[14x + 450- 10x = 530\]$

=> $\[4x = 530 - 450\]$

=> $\[4x = 80\]$

=> $\[x = 20\]$

Substituting in (1):

$\[y = 45 - x\]$

=> $\[y = 45 - 20\]$

=> $\[y = 25 \]$